Approximate solutions of impulsive integro-differential equations

DOI10.1007/s40065-018-0200-1zbMath1405.34054OpenAlexW2792814580MaRDI QIDQ1630962

R. S. Jain, S. D. Kadam, B. Surendranath Reddy

Publication date: 5 December 2018

Published in: Arabian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40065-018-0200-1

zbMATH Keywords

Banach spaceimpulsive integro-differential equationsinequality of Grownwall type

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Theoretical approximation of solutions to ordinary differential equations (34A45) Nonlinear differential equations in abstract spaces (34G20) Integro-ordinary differential equations (45J99)

Related Items (2)

Unnamed Item ⋮ On stability of nonlocal neutral stochastic integro differential equations with random impulses and Poisson jumps

Cites Work

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• Perturbation technique for a class of nonlinear implicit semilinear impulsive integro-differential equations of mixed type with noncompactness measure
• On some approximate solutions of nonlinear integrodifferential equation on time scales
• Existence and uniqueness of nonlinear impulsive integro-differential equations
• Integral inequalities of Gronwall type for piecewise continuous functions
• Theory of nonlinear implicit fractional differential equations

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